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Finding the Fourth Proportional to 9,434.56, 13,020.04 and 5,243.20

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Solution

The fourth proportional to 9,434.56, 13,020.04 and 5,243.20 is: 7,235.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.56 : 13,020.04 = 5,243.20 : x
  2. Step 2: Convert to fraction form
    9,434.56/13,020.04 = 5,243.20/x
  3. Step 3: Cross multiply
    9,434.56x = 13,020.04 × 5,243.20
  4. Step 4: Simplify right side
    9,434.56x = 68,266,673.73
  5. Step 5: Solve for x
    x = 68,266,673.73/9,434.56
  6. Step 6: Final answer
    x = 7,235.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.